Calculus

The derivative is a concept that represents the rate of change or the slope of a function at a particular point. It is a fundamental concept in calculus and is used to analyze how a function changes with respect to its input as the input changes very slightly.

This article covers physical and geometric interpretation of the derivative as well as some applications like finding maxima and minima in a function and newton-raphson.

An integral is a mathematical concept that represents the accumulation or summing up of quantities over a certain interval or region. In this article we’ll discuss the properties of the integral by looking an example of antidifferentiation and some examples of evaluating definite integrals.

Taylor Series helps approximate the value of a definite integral for a function whose antiderivative is hard to find. This article explains the key ideas behind Taylor’s Theorem and an example of approximating its value with a polynomial function.

This article gives an introduction to calculus starting with the concept of a function and how calculus helps us solve problems related to determining tangents to curves (expressed as functions), finding the minim/maxima like determinining the maximum range of a projectile, and to find the length of curves areas and volumes.